164404128356101 has 2 divisors, whose sum is σ = 164404128356102. Its totient is φ = 164404128356100.

The previous prime is 164404128356081. The next prime is 164404128356129. The reversal of 164404128356101 is 101653821404461.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152939572531876 + 11464555824225 = 12366874^2 + 3385935^2 .

It is an emirp because it is prime and its reverse (101653821404461) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164404128356101 is a prime.

It is a super-3 number, since 3×164404128356101³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164404128336101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82202064178050 + 82202064178051.

It is an arithmetic number, because the mean of its divisors is an integer number (82202064178051).

Almost surely, 2^{164404128356101} is an apocalyptic number.

It is an amenable number.

164404128356101 is a deficient number, since it is larger than the sum of its proper divisors (1).

164404128356101 is an equidigital number, since it uses as much as digits as its factorization.

164404128356101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 164404128356101 in words is "one hundred sixty-four trillion, four hundred four billion, one hundred twenty-eight million, three hundred fifty-six thousand, one hundred one".